Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling in Nonsmooth Optimization.”https://doi.org/10.1007/s10589-024-00552-0__Computational Optimization and Applications, 2024.https://doi.org/10.1007/s10589-024-00552-0 .

Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.”https://doi.org/10.1007/s10957-024-02389-3__Journal of Optimization Theory and Applications, 2024.https://doi.org/10.1007/s10957-024-02389-3 .

Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.

Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.”https://doi.org/10.1093/comnet/cnae009__Journal of Complex Networks 12, no. 2 (2024).https://doi.org/10.1093/comnet/cnae009 .

Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of Data-Driven Models to Control Systems.”https://doi.org/10.1016/j.automatica.2022.110840__Automatica 149 (2023).https://doi.org/10.1016/j.automatica.2022.110840 .

Gebken, Bennet, Katharina Bieker, and Sebastian Peitz. “On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms.”https://doi.org/10.1007/s10898-022-01223-2__Journal of Global Optimization 85, no. 3 (2023): 709–41.https://doi.org/10.1007/s10898-022-01223-2 .

Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation Method for High-Order Phase Reduction in Coupled  Oscillator Networks.” ArXiv:2306.03320, n.d.

Nüske, Feliks, Sebastian Peitz, Friedrich Philipp, Manuel Schaller, and Karl Worthmann. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.”https://doi.org/10.1007/s00332-022-09862-1__Journal of Nonlinear Science 33 (2023).https://doi.org/10.1007/s00332-022-09862-1 .

Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement  Learning.”https://doi.org/10.1137/21M1412682__SIAM Journal on Scientific Computing 45, no. 2 (2023): 9–95.https://doi.org/10.1137/21M1412682 .

Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.”https://doi.org/10.1137/23m1561075__SIAM Journal on Applied Mathematics 83, no. 6 (2023): 2329–53.https://doi.org/10.1137/23m1561075 .

Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023.

Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical Hierarchy in Gathering Protocols with Circulant  Topologies.” ArXiv:2305.06632, n.d.

Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975, 2023.

Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.

Banholzer, Stefan, Bennet Gebken, Michael Dellnitz, Sebastian Peitz, and Stefan Volkwein. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.”https://doi.org/10.1007/978-3-030-79393-7_3__In Non-Smooth and Complementarity-Based Distributed Parameter Systems, edited by Hintermüller Michael, Herzog Roland, Kanzow Christian, Ulbrich Michael, and Ulbrich Stefan, 43–76. Cham: Springer, 2022.https://doi.org/10.1007/978-3-030-79393-7_3 .

Peitz, Sebastian, Michael Dellnitz, and Sebastian Bannenberg. “Efficient Virtual Design and Testing of Autonomous Vehicles.”https://doi.org/10.1007/978-3-030-81455-7_23__In German Success Stories in Industrial Mathematics, edited by H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Vol. 35. Mathematics in Industry. Cham: Springer International Publishing, 2022.https://doi.org/10.1007/978-3-030-81455-7_23 .

Klus, Stefan, Feliks Nüske, and Sebastian Peitz. “Koopman Analysis of Quantum Systems.”https://doi.org/10.1088/1751-8121/ac7d22__Journal of Physics A: Mathematical and Theoretical 55, no. 31 (2022): 314002.https://doi.org/10.1088/1751-8121/ac7d22 .

Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods for  Nonsmooth Optimization.” ArXiv:2210.04579, 2022.

Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth and Nonsmooth Multiobjective Optimization, 2022.https://doi.org/10.17619/UNIPB/1-1327 .

Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094, 2022.

Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.”https://doi.org/10.1109/TPAMI.2021.3114962__IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no. 11 (2022): 7797–7808.https://doi.org/10.1109/TPAMI.2021.3114962 .

Nüske, Feliks, Patrick Gelß, Stefan Klus, and Cecilia Clementi. “Tensor-Based Computation of Metastable and Coherent Sets.”https://doi.org/10.1016/j.physd.2021.133018__Physica D: Nonlinear Phenomena, 2021.https://doi.org/10.1016/j.physd.2021.133018 .

Klus, Stefan, Patrick Gelß, Feliks Nüske, and Frank Noé. “Symmetric and Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.”https://doi.org/10.1088/2632-2153/ac14ad__Machine Learning: Science and Technology, 2021.https://doi.org/10.1088/2632-2153/ac14ad .

Goelz, Christian, Karin Mora, Julia Kristin Stroehlein, Franziska Katharina Haase, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Electrophysiological Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.”https://doi.org/10.1007/s11571-020-09656-9__Cognitive Neurodynamics, 2021.https://doi.org/10.1007/s11571-020-09656-9 .

Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models.”https://doi.org/10.3390/mca26020031__Mathematical and Computational Applications 26, no. 2 (2021).https://doi.org/10.3390/mca26020031 .

Nüske, Feliks, Péter Koltai, Lorenzo Boninsegna, and Cecilia Clementi. “Spectral Properties of Effective Dynamics from Conditional Expectations.”https://doi.org/10.3390/e23020134__Entropy, 2021.https://doi.org/10.3390/e23020134 .

Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems.”https://doi.org/10.1007/s10957-020-01803-w__Journal of Optimization Theory and Applications 188 (2021): 696–723.https://doi.org/10.1007/s10957-020-01803-w .

Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization: Inferring Decision Criteria from Data.”https://doi.org/10.1007/s10898-020-00983-z__Journal of Global Optimization 80 (2021): 3–29.https://doi.org/10.1007/s10898-020-00983-z .

Gerlach, Raphael. The Computation and Analysis of Invariant Sets of Infinite-Dimensional Systems, 2021.https://doi.org/10.17619/UNIPB/1-1278 .

Ober-Blöbaum, Sina, and Sebastian Peitz. “Explicit Multiobjective Model Predictive Control for Nonlinear Systems  with Symmetries.”https://doi.org/10.1002/rnc.5281__International Journal of Robust and Nonlinear Control 31(2) (2021): 380–403.https://doi.org/10.1002/rnc.5281 .

Flaßkamp, Kathrin, Sina Ober-Blöbaum, and Sebastian Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.”https://doi.org/10.1007/978-3-030-51264-4_9__In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle. Cham: Springer, 2020.https://doi.org/10.1007/978-3-030-51264-4_9 .

Klus, Stefan, Feliks Nüske, and Boumediene Hamzi. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.”https://doi.org/10.3390/e22070722__Entropy, 2020.https://doi.org/10.3390/e22070722 .

Schütze, Oliver, Oliver Cuate, Adanay Martín, Sebastian Peitz, and Michael Dellnitz. “Pareto Explorer: A Global/Local Exploration Tool for Many-Objective Optimization Problems.”https://doi.org/10.1080/0305215x.2019.1617286__Engineering Optimization 52, no. 5 (2020): 832–55.https://doi.org/10.1080/0305215x.2019.1617286 .

Klus, Stefan, Feliks Nüske, Sebastian Peitz, Jan-Hendrik Niemann, Cecilia Clementi, and Christof Schütte. “Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control.”https://doi.org/10.1016/j.physd.2020.132416__Physica D: Nonlinear Phenomena 406 (2020).https://doi.org/10.1016/j.physd.2020.132416 .

Peitz, Sebastian, and Stefan Klus. “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator.”https://doi.org/10.1007/978-3-030-35713-9_10__In Lecture Notes in Control and Information Sciences, 484:257–82. Lecture Notes in Control and Information Sciences. Cham: Springer, 2020.https://doi.org/10.1007/978-3-030-35713-9_10 .

Bieker, Katharina, Sebastian Peitz, Steven L. Brunton, J. Nathan Kutz, and Michael Dellnitz. “Deep Model Predictive Flow Control with Limited Sensor Data and Online Learning.”https://doi.org/10.1007/s00162-020-00520-4__Theoretical and Computational Fluid Dynamics 34 (2020): 577–591.https://doi.org/10.1007/s00162-020-00520-4 .

Peitz, Sebastian, Samuel E. Otto, and Clarence W. Rowley. “Data-Driven Model Predictive Control Using Interpolated Koopman  Generators.”https://doi.org/10.1137/20M1325678__SIAM Journal on Applied Dynamical Systems 19, no. 3 (2020): 2162–93.https://doi.org/10.1137/20M1325678 .

Gerlach, Raphael, Adrian Ziessler, Bruno Eckhardt, and Michael Dellnitz. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.”https://doi.org/10.1137/19m1247139__SIAM Journal on Applied Dynamical Systems, 2020, 705–23.https://doi.org/10.1137/19m1247139 .

Hernández Castellanos, Carlos Ignacio, Sina Ober-Blöbaum, and Sebastian Peitz. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems  Under Uncertainty.”https://doi.org/10.1002/rnc.5197__International Journal of Robust and Nonlinear Control 30(17) (2020): 7593–7618.https://doi.org/10.1002/rnc.5197 .

Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.”https://doi.org/10.1007/978-3-030-51264-4_3__In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control. Cham: Springer International Publishing, 2020.https://doi.org/10.1007/978-3-030-51264-4_3 .

Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On the Equivariance Properties of Self-Adjoint Matrices.”https://doi.org/10.1080/14689367.2019.1661355__Dynamical Systems 35, no. 2 (2020): 197–215.https://doi.org/10.1080/14689367.2019.1661355 .

Nüske, Feliks, Lorenzo Boninsegna, and Cecilia Clementi. “Coarse-Graining Molecular Systems by Spectral Matching.”https://doi.org/10.1063/1.5100131__The Journal of Chemical Physics, 2019.https://doi.org/10.1063/1.5100131 .

Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous Relaxations for the Traveling Salesman Problem.”https://doi.org/10.1007/s11071-019-05092-5__Nonlinear Dynamics, 2019.https://doi.org/10.1007/s11071-019-05092-5 .

Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.”https://doi.org/10.1016/j.automatica.2019.05.016__Automatica 106 (2019): 184–91.https://doi.org/10.1016/j.automatica.2019.05.016 .

Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “On the Hierarchical Structure of Pareto Critical Sets.”https://doi.org/10.1007/s10898-019-00737-6__Journal of Global Optimization 73, no. 4 (2019): 891–913.https://doi.org/10.1007/s10898-019-00737-6 .

Hanke, Soren, Sebastian Peitz, Oliver Wallscheid, Joachim Böcker, and Michael Dellnitz. “Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification.”https://doi.org/10.1109/precede.2019.8753313__In 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.https://doi.org/10.1109/precede.2019.8753313 .

Gerlach, Raphael, Péter Koltai, and Michael Dellnitz. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of  Infinite Dimensional Dynamical Systems.” ArXiv:1902.08824, 2019.

Ziessler, Adrian, Michael Dellnitz, and Raphael Gerlach. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.”https://doi.org/10.1137/18m1204395__SIAM Journal on Applied Dynamical Systems 18, no. 3 (2019): 1265–92.https://doi.org/10.1137/18m1204395 .

Hanke, Sören, Sebastian Peitz, Oliver Wallscheid, Stefan Klus, Joachim Böcker, and Michael Dellnitz. “Koopman Operator-Based Finite-Control-Set Model Predictive Control for  Electrical Drives.” ArXiv:1804.00854, 2018.

Litzinger, Florian, Lorenzo Boninsegna, Hao Wu, Feliks Nüske, Raajen Patel, Richard Baraniuk, Frank Noé, and Cecilia Clementi. “Rapid Calculation of Molecular Kinetics Using Compressed Sensing.”https://doi.org/10.1021/acs.jctc.8b00089__Journal of Chemical Theory and Computation, 2018, 2771–83.https://doi.org/10.1021/acs.jctc.8b00089 .